--- title: "Meaning & Key Takeaway of: How is an error possible in mathematics?" description: "\"How is an error possible in mathematics?\" — Henri Poincare" image: "https://sms4smile.com/quotes/i/eb4/henri-poincare-3339_error_how-is-an-error-possible-in-mathematics_2646768.jpg" --- # How is an error possible in mathematics? ![“How is an error possible in mathematics?” quote by Henri Poincare](https://sms4smile.com/quotes/i/eb4/henri-poincare-3339_error_how-is-an-error-possible-in-mathematics_2646768.jpg) [Download](https://sms4smile.com/quotes/i/eb4/henri-poincare-3339_error_how-is-an-error-possible-in-mathematics_2646768.jpg) [Open image](https://sms4smile.com/quotes/i/eb4/henri-poincare-3339_error_how-is-an-error-possible-in-mathematics_2646768.jpg) > “How is an error possible in mathematics?” [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Mathematical errors arise from hidden assumptions or misapplied logic, reminding us to scrutinize foundations. **In simple terms:** Errors stem from hidden flaws. Key Takeaway Check underlying assumptions. Themes mathematics logic precision Mood analytical inquisitive Type academic philosophical When to use this quote - academic research - engineering calculations Key Concepts Foundational analysis error detection Questions to Reflect On - What assumptions underlie your calculations? - How can we improve error detection? A Different Perspective Complex proofs may still contain unnoticed errors. ★ ★ ★ ★ ★ No ratings yet [Error](https://sms4smile.com/quotes/about/error/) [Error Possible](https://sms4smile.com/quotes/about/error-possible-2315450/) [How](https://sms4smile.com/quotes/about/how/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Possible](https://sms4smile.com/quotes/about/possible/) [Possible Mathematics](https://sms4smile.com/quotes/about/possible-mathematics-2315451/) ## Related quotes > [How is error possible in mathematics?](https://sms4smile.com/quotes/henri-poincare/how-is-error-possible-in-mathematics/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [We know that nature is described by the best of all possible mathematics because God created it. So there is a chance that the…](https://sms4smile.com/quotes/alexander-markovich-polyakov/we-know-that-nature-is-described-by-the-best-of-all-possible-2/) [Alexander Markovich Polyakov](https://sms4smile.com/quotes/author/alexander-markovich-polyakov/) > [It is amusing to discover, in the twentieth century, that the quarrels between two lovers, two mathematicians, two nations, two economic systems, usually assumed…](https://sms4smile.com/quotes/alfred-korzybski/it-is-amusing-to-discover-in-the-twentieth-century-that-the-quarrels/) [Alfred Korzybski](https://sms4smile.com/quotes/author/alfred-korzybski/) > [A small error in the former will produce an enormous error in the latter.](https://sms4smile.com/quotes/henri-poincare/a-small-error-in-the-former-will-produce-an-enormous-error-in-the/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [If we didn't have genetic mutations, we wouldn't have us. You need error to open the door to the adjacent possible.](https://sms4smile.com/quotes/steven-johnson/if-we-didn-t-have-genetic-mutations-we-wouldn-t-have-us-you-need/) [Steven Johnson](https://sms4smile.com/quotes/author/steven-johnson/) > [Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has a philosophical…](https://sms4smile.com/quotes/henri-poincare/mathematics-has-a-threefold-purpose-it-must-provide-an-instrument-for/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [All of mathematics is a tale about groups.](https://sms4smile.com/quotes/henri-poincare/all-of-mathematics-is-a-tale-about-groups/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves,…](https://sms4smile.com/quotes/henri-poincare/absolute-space-that-is-to-say-the-mark-to-which-it-would-be-necessary/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most…](https://sms4smile.com/quotes/henri-poincare/by-natural-selection-our-mind-has-adapted-itself-to-the-conditions-of/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge…](https://sms4smile.com/quotes/henri-poincare/the-mathematical-facts-worthy-of-being-studied-are-those-which-by/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Carve and polish it the way you like, error cannot be changed into a precious stone.](https://sms4smile.com/quotes/ace-kid/carve-and-polish-it-the-way-you-like-error-cannot-be-changed-into-a/) [Ace Kid](https://sms4smile.com/quotes/author/ace-kid/) > [“Error, failure, and being wrong are central to our development. We just aren’t using them as much as we should…yet.”](https://sms4smile.com/quotes/alastair-arnott/error-failure-and-being-wrong-are-central-to-our-development-we-just/) [Alastair Arnott](https://sms4smile.com/quotes/author/alastair-arnott/) > [This idea that once you get into politics... you are now signed up for lifelong duty being in elective office, makes a fundamental error…](https://sms4smile.com/quotes/matt-gonzalez/this-idea-that-once-you-get-into-politics-you-are-now-signed-up-for/) [Matt Gonzalez](https://sms4smile.com/quotes/author/matt-gonzalez/) > [“Between an Error and a Lie, there are Worlds – an Error is an unintended Mistake, a Lie is an intentional Audacity.”](https://sms4smile.com/quotes/sino-melo/between-an-error-and-a-lie-there-are-worlds-an-error-is-an-unintended/) [Sino Melo](https://sms4smile.com/quotes/author/sino-melo/) > [Truth is error burned up.](https://sms4smile.com/quotes/norman-o-brown/truth-is-error-burned-up/) [Norman O. Brown](https://sms4smile.com/quotes/author/norman-o-brown/) ## More by Henri Poincare > [The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge…](https://sms4smile.com/quotes/henri-poincare/the-mathematical-facts-worthy-of-being-studied-are-those-which-by/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most…](https://sms4smile.com/quotes/henri-poincare/by-natural-selection-our-mind-has-adapted-itself-to-the-conditions-of/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation…](https://sms4smile.com/quotes/henri-poincare/if-we-knew-exactly-the-laws-of-nature-and-the-situation-of-the/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves,…](https://sms4smile.com/quotes/henri-poincare/absolute-space-that-is-to-say-the-mark-to-which-it-would-be-necessary/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Science is facts.](https://sms4smile.com/quotes/henri-poincare/science-is-facts/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves,…](https://sms4smile.com/quotes/henri-poincare/absolute-space-that-is-to-say-the-mark-to-which-it-would-be-necessary-2/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [All of mathematics is a tale about groups.](https://sms4smile.com/quotes/henri-poincare/all-of-mathematics-is-a-tale-about-groups/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [A cat is witty, he has nerve, he knows how to do precisely the right thing at the right moment.](https://sms4smile.com/quotes/henri-poincare/a-cat-is-witty-he-has-nerve-he-knows-how-to-do-precisely-the-right/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [In the old days when people invented a new function they had something useful in mind.](https://sms4smile.com/quotes/henri-poincare/in-the-old-days-when-people-invented-a-new-function-they-had/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Intuition is more important to discovery than logic.](https://sms4smile.com/quotes/henri-poincare/intuition-is-more-important-to-discovery-than-logic/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has a philosophical…](https://sms4smile.com/quotes/henri-poincare/mathematics-has-a-threefold-purpose-it-must-provide-an-instrument-for/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Experiment is the sole source of truth.](https://sms4smile.com/quotes/henri-poincare/experiment-is-the-sole-source-of-truth/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [“ Qu'une goutee de vin tombe dans un verre d'eau; quelle que soit la loi du movement interne du liquide, nous verrons bientôt se…](https://sms4smile.com/quotes/henri-poincare/qu-une-goutee-de-vin-tombe-dans-un-verre-d-eau-quelle-que-soit-la-loi/) [Henri Poincaré](https://sms4smile.com/quotes/author/henri-poincare/) > [If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the…](https://sms4smile.com/quotes/henri-poincare/if-that-enabled-us-to-predict-the-succeeding-situation-with-the-same/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [“ Le savant doit ordonner ; on fait la science avec des faits comme une maison avec des pierres ; mais une accumulation de…](https://sms4smile.com/quotes/henri-poincare/le-savant-doit-ordonner-on-fait-la-science-avec-des-faits-comme-une/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) [Explore all 130 Henri Poincare quotes ](https://sms4smile.com/quotes/author/henri-poincare/) ## More Error quotes > [Truth is error burned up.](https://sms4smile.com/quotes/norman-o-brown/truth-is-error-burned-up/) [Norman O. Brown](https://sms4smile.com/quotes/author/norman-o-brown/) > [“Between an Error and a Lie, there are Worlds – an Error is an unintended Mistake, a Lie is an intentional Audacity.”](https://sms4smile.com/quotes/sino-melo/between-an-error-and-a-lie-there-are-worlds-an-error-is-an-unintended/) [Sino Melo](https://sms4smile.com/quotes/author/sino-melo/) > [This idea that once you get into politics... you are now signed up for lifelong duty being in elective office, makes a fundamental error…](https://sms4smile.com/quotes/matt-gonzalez/this-idea-that-once-you-get-into-politics-you-are-now-signed-up-for/) [Matt Gonzalez](https://sms4smile.com/quotes/author/matt-gonzalez/) > [“Error, failure, and being wrong are central to our development. We just aren’t using them as much as we should…yet.”](https://sms4smile.com/quotes/alastair-arnott/error-failure-and-being-wrong-are-central-to-our-development-we-just/) [Alastair Arnott](https://sms4smile.com/quotes/author/alastair-arnott/) > [Carve and polish it the way you like, error cannot be changed into a precious stone.](https://sms4smile.com/quotes/ace-kid/carve-and-polish-it-the-way-you-like-error-cannot-be-changed-into-a/) [Ace Kid](https://sms4smile.com/quotes/author/ace-kid/) > [“error,” and it is the best way to seek out a great result that fulfills your client’s business need.”](https://sms4smile.com/quotes/david-sherwin/error-and-it-is-the-best-way-to-seek-out-a-great-result-that-fulfills/) [David Sherwin](https://sms4smile.com/quotes/author/david-sherwin/) > [It's a base hit on the error by Roberts.](https://sms4smile.com/quotes/jerry-coleman/it-s-a-base-hit-on-the-error-by-roberts/) [Jerry Coleman](https://sms4smile.com/quotes/author/jerry-coleman/) > [If we didn't have genetic mutations, we wouldn't have us. You need error to open the door to the adjacent possible.](https://sms4smile.com/quotes/steven-johnson/if-we-didn-t-have-genetic-mutations-we-wouldn-t-have-us-you-need/) [Steven Johnson](https://sms4smile.com/quotes/author/steven-johnson/) > [Error is discipline through which we advance.](https://sms4smile.com/quotes/william-ellery-channing/error-is-discipline-through-which-we-advance/) [William Ellery Channing](https://sms4smile.com/quotes/author/william-ellery-channing/) > [“Never give up your right to be wrong, and be sure to give others that right too.”](https://sms4smile.com/quotes/tim-fargo/never-give-up-your-right-to-be-wrong-and-be-sure-to-give-others-that/) [Tim Fargo](https://sms4smile.com/quotes/author/tim-fargo/) > [Narrative drives most of economics. Everything seems to be part of a story, and how that story is told often leads to critical error.](https://sms4smile.com/quotes/barry-ritholtz/narrative-drives-most-of-economics-everything-seems-to-be-part-of-a/) [Barry Ritholtz](https://sms4smile.com/quotes/author/barry-ritholtz/) > [After working with many nutritionists, reading books, and practicing trial and error on my own body, I have finally found a way to control…](https://sms4smile.com/quotes/suzanne-somers/after-working-with-many-nutritionists-reading-books-and-practicing/) [Suzanne Somers](https://sms4smile.com/quotes/author/suzanne-somers/) > [“Stop blaming other people for your mistakes. Until you are ready to admit that you are infallible, you are vulnerable for failure to whip.”](https://sms4smile.com/quotes/israelmore-ayivor/stop-blaming-other-people-for-your-mistakes-until-you-are-ready-to/) [Israelmore Ayivor](https://sms4smile.com/quotes/author/israelmore-ayivor/) > [“Believe truth! Shun error!-these, we see, are two materially different laws; and by choosing between them we may end by coloring differently our whole…](https://sms4smile.com/quotes/william-james/believe-truth-shun-error-these-we-see-are-two-materially-different/) [William James](https://sms4smile.com/quotes/author/william-james/) > [“In short, if youth is not quite right in its opinions, there is a strong probability that age is not much more so. Undying…](https://sms4smile.com/quotes/robert-louis-stevenson/in-short-if-youth-is-not-quite-right-in-its-opinions-there-is-a/) [Robert Louis Stevenson](https://sms4smile.com/quotes/author/robert-louis-stevenson/) [Browse all 289 Error quotes ](https://sms4smile.com/quotes/about/error/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "How is an error possible in mathematics?", "creator": { "@type": "Person", "name": "Henri Poincare" }, "isPartOf": { "@id": "https://sms4smile.com/quotes/#website" }, "url": "https://sms4smile.com/quotes/henri-poincare/how-is-an-error-possible-in-mathematics/", "about": { "@type": "Thing", "name": "Error" }, "@id": "https://sms4smile.com/quotes/henri-poincare/how-is-an-error-possible-in-mathematics/#quotation", "image": { "@type": "ImageObject", "@id": "https://sms4smile.com/quotes/i/eb4/henri-poincare-3339_error_how-is-an-error-possible-in-mathematics_2646768.jpg", "contentUrl": "https://sms4smile.com/quotes/i/eb4/henri-poincare-3339_error_how-is-an-error-possible-in-mathematics_2646768.jpg", "url": "https://sms4smile.com/quotes/i/eb4/henri-poincare-3339_error_how-is-an-error-possible-in-mathematics_2646768.jpg", "width": 1080, "height": 1080, "caption": "“How is an error possible in mathematics?” — Henri Poincare", "creditText": "SMS4Smile Quotes", "creator": { "@id": "https://sms4smile.com/quotes/#organization" } } }, { "@type": "BreadcrumbList", "itemListElement": [ { "@type": "ListItem", "position": 1, "name": "Home", "item": "https://sms4smile.com/" }, { "@type": "ListItem", "position": 2, "name": "Quotes", "item": "https://sms4smile.com/quotes/" }, { "@type": "ListItem", "position": 3, "name": "Henri Poincare", "item": "https://sms4smile.com/quotes/author/henri-poincare/" }, { "@type": "ListItem", "position": 4, "name": "How is an error possible in...", "item": "https://sms4smile.com/quotes/henri-poincare/how-is-an-error-possible-in-mathematics/" } ], "@id": "https://sms4smile.com/quotes/henri-poincare/how-is-an-error-possible-in-mathematics/#breadcrumb" }, { "@type": "WebSite", "@id": "https://sms4smile.com/quotes/#website", "name": "SMS4Smile Quotes", "url": "https://sms4smile.com/quotes/", "publisher": { "@id": "https://sms4smile.com/quotes/#organization" } }, { "@type": "Organization", "@id": "https://sms4smile.com/quotes/#organization", "name": "SMS4Smile Quotes", "url": "https://sms4smile.com/quotes/", "logo": { "@type": "ImageObject", "url": "https://sms4smile.com/quotes/wp-content/themes/sq/assets/icons/icon-512.png", "width": 512, "height": 512 } } ] } ```